Abstract: In this paper, an iterative adaptive critic design (ACD) algorithm is proposed to solve a class of discrete-time two-person zero-sum games for Roesser type 2-D system. The idea is to use; adaptive critic technique to obtain the optimal control pair; iteratively to make the performance index function reach the saddle; point of the zero-sum games. The proposed iterative ACD algorithm; can be implemented based on the input and state data without the; system model. Stability analysis of the 2-D system is presented and; the convergence property of the performance index function is also; proved. Neural networks are used to approximate the performance; index function and compute the optimal control policies,; respectively, for facilitating the implementation of the iterative; ACD algorithm. The optimal control scheme of the air drying process is given to illustrate the performance of the proposed method.